观察下列各式:1/1*3=1/2(1-1/3),1/3*5=1/2(1/3-1/5),1/5*7=1/2(1/5-1/7),···利用以上规律计算:1/1*3+1/3*5+1/5*7+……+1/2011*2013(要解题思路)在线等……~~~~(>_
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观察下列各式:1/1*3=1/2(1-1/3),1/3*5=1/2(1/3-1/5),1/5*7=1/2(1/5-1/7),···利用以上规律计算:1/1*3+1/3*5+1/5*7+……+1/2011*2013(要解题思路)在线等……~~~~(>_
观察下列各式:1/1*3=1/2(1-1/3),1/3*5=1/2(1/3-1/5),1/5*7=1/2(1/5-1/7),···
利用以上规律计算:1/1*3+1/3*5+1/5*7+……+1/2011*2013(要解题思路)
在线等……~~~~(>_
观察下列各式:1/1*3=1/2(1-1/3),1/3*5=1/2(1/3-1/5),1/5*7=1/2(1/5-1/7),···利用以上规律计算:1/1*3+1/3*5+1/5*7+……+1/2011*2013(要解题思路)在线等……~~~~(>_
1/1*3+1/3*5+1/5*7+……+1/2011*2013
=1/2(1-1/3)+1/2(1/3-1/5)+1/2(1/5-1/7)+.+1/2(1/2011-1/2013)
=1/2(1-1/3+1/3-1/5+.+1/2011-1/2013)
=1/2(1-1/2013)
=1006/2013
1/1*3+1/3*5+1/5*7+……+1/2011*2013
=1/2(1-1/3+1/3-1/5+...+1/2011-1/2013)
=1/2(1-1/2013)
=1006/2013
=1/2(1/1-1/3+1/3-1/5+1/5-1/7.....+1/2011-1/2013)=1/2(1-1/2013)=1/2*2012/2013=1006/2013